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New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators

Authors :
Hai-yun Zhou
Li Wei
Yong-fu Su
Source :
Applied Mathematics-A Journal of Chinese Universities. 25:199-208
Publication Year :
2010
Publisher :
Springer Science and Business Media LLC, 2010.

Abstract

In this paper, some new iterative schemes for approximating the common element of the set of fixed points of strongly relatively nonexpansive mappings and the set of zero points of maximal monotone operators in a real uniformly smooth and uniformly convex Banach space are proposed. Some weak convergence theorems are obtained, which extend and complement some previous work.

Details

ISSN :
19930445 and 10051031
Volume :
25
Database :
OpenAIRE
Journal :
Applied Mathematics-A Journal of Chinese Universities
Accession number :
edsair.doi...........ce10b6264fda3f80783d524e93d92b9b
Full Text :
https://doi.org/10.1007/s11766-010-2195-z